1221001120001 has 8 divisors (see below), whose sum is σ = 1316549664360. Its totient is φ = 1125684772992.

The previous prime is 1221001119967. The next prime is 1221001120007. The reversal of 1221001120001 is 1000211001221.

It can be written as a sum of positive squares in 4 ways, for example, as 289660316401 + 931340803600 = 538201^2 + 965060^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1221001120001 - 2²² = 1220996925697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1221001120007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58038410 + ... + 58059443.

It is an arithmetic number, because the mean of its divisors is an integer number (164568708045).

Almost surely, 2^{1221001120001} is an apocalyptic number.

It is an amenable number.

1221001120001 is a deficient number, since it is larger than the sum of its proper divisors (95548544359).

1221001120001 is a wasteful number, since it uses less digits than its factorization.

1221001120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116098675.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1221001120001 its reverse (1000211001221), we get a palindrome (2221212121222).

The spelling of 1221001120001 in words is "one trillion, two hundred twenty-one billion, one million, one hundred twenty thousand, one".